Today we are going to go over Congruency.

This lesson will be broken up into four sections. We will start off by defining congruency and experiment with transforming shapes in any plane, understand congruence and how they relate to rigid motions, prove geometric theorems, and how to make geometric constructions with ease.

At the end of today’s lesson you will be able to make sense of geometric theorem problems and be able to solve them.

Defining Congruence

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.



Now, let’s take a look at planes, perpendicular lines, parallel lines, circles and arcs.

geometry_congruence_definition 2


As you can see above, in geometry we use notation to show congruency among shapes. Now lets represents these transformations and compare their distance and angles.